Highest Common Factor of 5327, 5721 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5327, 5721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5327, 5721 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5327, 5721 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5327, 5721 is 1.
HCF(5327, 5721) = 1
HCF of 5327, 5721 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5327, 5721 is 1.
Highest Common Factor of 5327,5721 is 1
Step 1: Since 5721 > 5327, we apply the division lemma to 5721 and 5327, to get
5721 = 5327 x 1 + 394
Step 2: Since the reminder 5327 ≠ 0, we apply division lemma to 394 and 5327, to get
5327 = 394 x 13 + 205
Step 3: We consider the new divisor 394 and the new remainder 205, and apply the division lemma to get
394 = 205 x 1 + 189
We consider the new divisor 205 and the new remainder 189,and apply the division lemma to get
205 = 189 x 1 + 16
We consider the new divisor 189 and the new remainder 16,and apply the division lemma to get
189 = 16 x 11 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5327 and 5721 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(189,16) = HCF(205,189) = HCF(394,205) = HCF(5327,394) = HCF(5721,5327) .
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Frequently Asked Questions on HCF of 5327, 5721 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5327, 5721?
Answer: HCF of 5327, 5721 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5327, 5721 using Euclid's Algorithm?
Answer: For arbitrary numbers 5327, 5721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.